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28 votes
If a || b, m<2 =63°, and m<9=105°, find the measure of this missing angle m<4=?

If a || b, m<2 =63°, and m<9=105°, find the measure of this missing angle m-example-1
User Shane Sepac
by
2.6k points

1 Answer

14 votes
14 votes

Answer:

42 = angle 4

Explanation:

angle 9 and angle 7 are vertical angles therefore they are both equal to each other and are 105 degrees.

angle 2 and angle 5 are vertical angles, so they are both 63 degrees.

angle 7 and the sum of angles 5 and 4 are alternate interior angles, so they are congruent, giving us the equation:

105 = angle 4 + 63

42 = angle 4

User Ife
by
2.7k points
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